73032 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 22784.

The previous prime is 73019. The next prime is 73037. The reversal of 73032 is 23037.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73032.

It is not an unprimeable number, because it can be changed into a prime (73037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷³⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

73032 is an abundant number, since it is smaller than the sum of its proper divisors (121368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73032 is a wasteful number, since it uses less digits than its factorization.

73032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 73032 is about 270.2443338906. The cubic root of 73032 is about 41.7994978687.

Adding to 73032 its reverse (23037), we get a palindrome (96069).

The spelling of 73032 in words is "seventy-three thousand, thirty-two".